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969381216 = 25331959051
BaseRepresentation
bin111001110001111…
…001010101100000
32111120001200001000
4321301321111200
53441130144331
6240105112000
733010414206
oct7161712540
92446050030
10969381216
11458210501
12230788600
13125aa966b
1492a5b076
155a1840e6
hex39c79560

969381216 has 96 divisors (see below), whose sum is σ = 2976220800. Its totient is φ = 306115200.

The previous prime is 969381211. The next prime is 969381229. The reversal of 969381216 is 612183969.

It is a happy number.

969381216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969381211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13110 + ... + 45941.

It is an arithmetic number, because the mean of its divisors is an integer number (31002300).

Almost surely, 2969381216 is an apocalyptic number.

969381216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

969381216 is an abundant number, since it is smaller than the sum of its proper divisors (2006839584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

969381216 is a wasteful number, since it uses less digits than its factorization.

969381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59089 (or 59075 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 969381216 is about 31134.8874415823. The cubic root of 969381216 is about 989.6877619554.

It can be divided in two parts, 9693 and 81216, that added together give a palindrome (90909).

The spelling of 969381216 in words is "nine hundred sixty-nine million, three hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 59051 118102 177153 236204 354306 472408 531459 708612 944816 1062918 1121969 1417224 1594377 1889632 2125836 2243938 2834448 3188754 3365907 4251672 4487876 5668896 6377508 6731814 8503344 8975752 10097721 12755016 13463628 17006688 17951504 20195442 25510032 26927256 30293163 35903008 40390884 51020064 53854512 60586326 80781768 107709024 121172652 161563536 242345304 323127072 484690608 969381216